A class of algorithms for identification in H/sub infinity /: continuous-time case
- 1 January 1993
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 38 (2) , 289-294
- https://doi.org/10.1109/9.250475
Abstract
In this note, the problem of system identification in H(infinity) for the continuous-time case is investigated. it is shown that the class of systems with a lower bound on the relative stability, an upper bound on the steady state gain, and an upper bound on the roll-off rate is admissible. This allows one to develop a class of robustly convergent nonlinear algorithms. The algorithms in this class have a two-stage structure, and are characterized by the use of window functions. Explicit worst-case error bounds in H(infinity) norm between the identified model and the unknown system are given for a particular algorithm. Finally, an example is provided to illustrate the application of the results obtained.Keywords
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